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Finding the Fourth Proportional to 952.84, 1,315.47 and 743.50

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Solution

The fourth proportional to 952.84, 1,315.47 and 743.50 is: 1,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.84 : 1,315.47 = 743.50 : x
  2. Step 2: Convert to fraction form
    952.84/1,315.47 = 743.50/x
  3. Step 3: Cross multiply
    952.84x = 1,315.47 × 743.50
  4. Step 4: Simplify right side
    952.84x = 978,051.95
  5. Step 5: Solve for x
    x = 978,051.95/952.84
  6. Step 6: Final answer
    x = 1,026.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.